document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41011>Question 41011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the length x in each triangle.  Express your answer in simplified radical form.\r<BR>\n" );
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document.write( "long side is 12 <BR>\n" );
document.write( "x is the straight side<BR>\n" );
document.write( "8 is the bottom of the triangle\r<BR>\n" );
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document.write( "   x2 = 122 + 82 <BR>\n" );
document.write( "        = 144 + 64<BR>\n" );
document.write( "        = 208\r<BR>\n" );
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document.write( "This is completely wrong!  where am I failing?  I believe I am using the wrong formula.  Help me.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26572 by </B><A HREF=/tutors/aboutme.mpl?userid=mszlmb><B>mszlmb(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mszlmb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mszlmb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the length x in each triangle.  Express your answer in simplified radical form.\r<BR>\n" );
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document.write( "long side is 12 <BR>\n" );
document.write( "x is the straight side<BR>\n" );
document.write( "8 is the bottom of the triangle\r<BR>\n" );
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document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+12%5E2+%2B+8%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+=+12%5E2+%2B+8%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        = 144 + 64<BR>\n" );
document.write( "        = 208\r<BR>\n" );
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document.write( "Yip, but it's only wrong because the <i>long</i> side =shortest*middle.  so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%5E2=x%5E2%2B8%5E2 ALIGN=MIDDLE  ALT=\"12%5E2=x%5E2%2B8%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144=x%5E2%2B64 ALIGN=MIDDLE  ALT=\"144=x%5E2%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" > minus 64 on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80=x%5E2 ALIGN=MIDDLE  ALT=\"80=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > now square root both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2880%29=X ALIGN=MIDDLE  ALT=\"sqrt%2880%29=X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify the radical<BR>\n" );
document.write( "80-->2*2*2*2*5, or 16(5); and 16 is a perfect square of 4. therefore, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2880%29 ALIGN=MIDDLE  ALT=\"sqrt%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%2A16%29 ALIGN=MIDDLE  ALT=\"sqrt%285%2A16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%285%29 ALIGN=MIDDLE  ALT=\"4sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Otherwise, you would have been completely right. </SPAN>\n" );
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